51508640010305 has 8 divisors (see below), whose sum is σ = 61891590576744. Its totient is φ = 41152763632000.

The previous prime is 51508640010301. The next prime is 51508640010307. The reversal of 51508640010305 is 50301004680515.

It is a Cunningham number, because it is equal to 7176952²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 51508640010304 = 1^2 + 7176952^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51508640010305 - 2² = 51508640010301 is a prime.

It is a super-2 number, since 2×51508640010305² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51508640010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6768542846 + ... + 6768550455.

It is an arithmetic number, because the mean of its divisors is an integer number (7736448822093).

Almost surely, 2^{51508640010305} is an apocalyptic number.

It is an amenable number.

51508640010305 is a deficient number, since it is larger than the sum of its proper divisors (10382950566439).

51508640010305 is a wasteful number, since it uses less digits than its factorization.

51508640010305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537094067.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 51508640010305 in words is "fifty-one trillion, five hundred eight billion, six hundred forty million, ten thousand, three hundred five".